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Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space

Year 2017, Volume: 13 Issue: 1, 155 - 163, 30.03.2017

Erhan Güler Ömer Kişi

https://doi.org/10.18466/cbayarfbe.302661
Cited By: 1

Abstract

We study two parameters families of
Bour-type and Enneper-type minimal surfaces using the Weierstrass
representation in the four dimensional Euclidean space. We obtain implicit
algebraic equations, degree and classes of the surfaces.


Keywords

4-space surface Weierstrass representation degree class

References

  • [1] Ganchev, G., Milousheva, V. An invariant theory of surfaces in the four-dimensional Euclidean or Minkowski space. Pliska Stud. Math. Bulgar. 2012; 21, 177--200.

Year 2017, Volume: 13 Issue: 1, 155 - 163, 30.03.2017

Erhan Güler Ömer Kişi

https://doi.org/10.18466/cbayarfbe.302661
Cited By: 1

Abstract

References

  • [1] Ganchev, G., Milousheva, V. An invariant theory of surfaces in the four-dimensional Euclidean or Minkowski space. Pliska Stud. Math. Bulgar. 2012; 21, 177--200.
There are 1 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Erhan Güler

Ömer Kişi

Publication Date March 30, 2017
Published in Issue Year 2017 Volume: 13 Issue: 1

Cite

APA Güler, E., & Kişi, Ö. (2017). Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. Celal Bayar University Journal of Science, 13(1), 155-163. https://doi.org/10.18466/cbayarfbe.302661
AMA Güler E, Kişi Ö. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. March 2017;13(1):155-163. doi:10.18466/cbayarfbe.302661
Chicago Güler, Erhan, and Ömer Kişi. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science 13, no. 1 (March 2017): 155-63. https://doi.org/10.18466/cbayarfbe.302661.
EndNote Güler E, Kişi Ö (March 1, 2017) Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. Celal Bayar University Journal of Science 13 1 155–163.
IEEE E. Güler and Ö. Kişi, “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”, CBUJOS, vol. 13, no. 1, pp. 155–163, 2017, doi: 10.18466/cbayarfbe.302661.
ISNAD Güler, Erhan - Kişi, Ömer. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science 13/1 (March 2017), 155-163. https://doi.org/10.18466/cbayarfbe.302661.
JAMA Güler E, Kişi Ö. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. 2017;13:155–163.
MLA Güler, Erhan and Ömer Kişi. “Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space”. Celal Bayar University Journal of Science, vol. 13, no. 1, 2017, pp. 155-63, doi:10.18466/cbayarfbe.302661.
Vancouver Güler E, Kişi Ö. Weierstrass Representation, Degree and Classes of the Surfaces in the Four Dimensional Euclidean Space. CBUJOS. 2017;13(1):155-63.

Cited By

Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space
Mathematics
Erhan Güler
https://doi.org/10.3390/math6120279